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This paper presents a three-dimensional autonomous Lorenz-like system formed by only five terms with a butterfly chaotic attractor. The dynamics of this new system is completely different from that in the Lorenz system family. This new chaotic system can display different dynamic behaviors such as periodic orbits, intermittency and chaos, which are numerically verified through investigating phase...
The paper firstly analyzes a four-wing chaotic attractor which is reported recently. Then, a fractional-order chaotic attractor can be obtained based on the four-wing chaotic system. When vary, the dynamics of the fractional-order chaotic attractor are very complex, not only can the four-wing chaotic attractor be observed by numerical simulation, but also some typical periodic attractors can be found...
A new chaotic attractor is discovered. The heteroclinic orbits in the new system has been found by using the undermined coefficient method. It analytically demonstrates that there exists one heteroclinic orbit of the Si'lnikov type that connects two nontrivial equilibrium points, and therefore Smale horseshoes and the horsesheos chaos occur for this system via the Si'likov criterion. The convergence...
The paper firstly analyzes a three-wing or four-wing chaotic attractor which is reported recently. When vary, the dynamics of the chaotic attractor are very complex, not only can the three-wing or four-wing chaotic attractor be observed by numerical simulation, but also some typical periodic attractors can be found. In addition, an analog circuit is also made for the three-wing or four-wing chaotic...
In order to generate complex chaotic attractor, an auto-switched chaotic system which consists of two subsystems is constructed. The switched chaotic system can change its behavior automatically from one to another via a data selector. The system is also implemented based on FPGA by EDA Technology, and the experiments shows a good agree with simulation.
A new 3D quadratic autonomous chaotic system is reported in this paper, which contains five system parameters and three quadratic cross-product terms, and the system can generate a pair of coexisting diagonal double-wing chaotic attractors with wide parameters ranges. Some basic dynamical behaviors of the new chaotic system are investigated. The Hopf bifurcation process is proved to arise at certain...
In this paper, a novel four-dimensional (4D) autonomous continuous time Hopfield-type neural network with two parameters is investigated. Computer simulations show that the 4D Hopfield neural network has rich and funny dynamics, and it can display equilibrium, periodic attractor, chaotic attractor and quasi-periodic attractor for different parameters. Moreover, when the system is chaotic, its positive...
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